Finding the Third Proportional to 69,724 and 152,754

Step by Step Solution

1. Step 1: Write the proportion equation
   69,724 : 152,754 = 152,754 : x
2. Step 2: Convert to fraction form
   69,724/152,754 = 152,754/x
3. Step 3: Cross multiply
   69,724x = 152,754 × 152,754
4. Step 4: Simplify right side
   69,724x = 23,333,784,516
5. Step 5: Solve for x
   x = 23,333,784,516/69,724
6. Step 6: Final answer
   x = 334,659.29