Finding the Third Proportional to 69,674 and 152,637

Step by Step Solution

1. Step 1: Write the proportion equation
   69,674 : 152,637 = 152,637 : x
2. Step 2: Convert to fraction form
   69,674/152,637 = 152,637/x
3. Step 3: Cross multiply
   69,674x = 152,637 × 152,637
4. Step 4: Simplify right side
   69,674x = 23,298,053,769
5. Step 5: Solve for x
   x = 23,298,053,769/69,674
6. Step 6: Final answer
   x = 334,386.63