Finding the Third Proportional to 69,500 and 152,532

Step by Step Solution

1. Step 1: Write the proportion equation
   69,500 : 152,532 = 152,532 : x
2. Step 2: Convert to fraction form
   69,500/152,532 = 152,532/x
3. Step 3: Cross multiply
   69,500x = 152,532 × 152,532
4. Step 4: Simplify right side
   69,500x = 23,266,011,024
5. Step 5: Solve for x
   x = 23,266,011,024/69,500
6. Step 6: Final answer
   x = 334,762.75