Finding the Third Proportional to 160,175,834,138 and 218,132,145,983

Step by Step Solution

1. Step 1: Write the proportion equation
   160,175,834,138 : 218,132,145,983 = 218,132,145,983 : x
2. Step 2: Convert to fraction form
   160,175,834,138/218,132,145,983 = 218,132,145,983/x
3. Step 3: Cross multiply
   160,175,834,138x = 218,132,145,983 × 218,132,145,983
4. Step 4: Simplify right side
   160,175,834,138x = 47,581,633,111,148,826,984,448
5. Step 5: Solve for x
   x = 47,581,633,111,148,826,984,448/160,175,834,138
6. Step 6: Final answer
   x = 297,058,750,261.63