Finding the Third Proportional to 69,747 and 152,535

Step by Step Solution

1. Step 1: Write the proportion equation
   69,747 : 152,535 = 152,535 : x
2. Step 2: Convert to fraction form
   69,747/152,535 = 152,535/x
3. Step 3: Cross multiply
   69,747x = 152,535 × 152,535
4. Step 4: Simplify right side
   69,747x = 23,266,926,225
5. Step 5: Solve for x
   x = 23,266,926,225/69,747
6. Step 6: Final answer
   x = 333,590.35