Finding the Third Proportional to 69,756 and 152,553

Step by Step Solution

1. Step 1: Write the proportion equation
   69,756 : 152,553 = 152,553 : x
2. Step 2: Convert to fraction form
   69,756/152,553 = 152,553/x
3. Step 3: Cross multiply
   69,756x = 152,553 × 152,553
4. Step 4: Simplify right side
   69,756x = 23,272,417,809
5. Step 5: Solve for x
   x = 23,272,417,809/69,756
6. Step 6: Final answer
   x = 333,626.04