Finding the Third Proportional to 69,734.50 and 152,429

Step by Step Solution

1. Step 1: Write the proportion equation
   69,734.50 : 152,429 = 152,429 : x
2. Step 2: Convert to fraction form
   69,734.50/152,429 = 152,429/x
3. Step 3: Cross multiply
   69,734.50x = 152,429 × 152,429
4. Step 4: Simplify right side
   69,734.50x = 23,234,600,041
5. Step 5: Solve for x
   x = 23,234,600,041/69,734.50
6. Step 6: Final answer
   x = 333,186.59