Finding the Third Proportional to 78,003 and 152,118

Step by Step Solution

1. Step 1: Write the proportion equation
   78,003 : 152,118 = 152,118 : x
2. Step 2: Convert to fraction form
   78,003/152,118 = 152,118/x
3. Step 3: Cross multiply
   78,003x = 152,118 × 152,118
4. Step 4: Simplify right side
   78,003x = 23,139,885,924
5. Step 5: Solve for x
   x = 23,139,885,924/78,003
6. Step 6: Final answer
   x = 296,653.79