Finding the Third Proportional to 103,624 and 152,035

Step by Step Solution

1. Step 1: Write the proportion equation
   103,624 : 152,035 = 152,035 : x
2. Step 2: Convert to fraction form
   103,624/152,035 = 152,035/x
3. Step 3: Cross multiply
   103,624x = 152,035 × 152,035
4. Step 4: Simplify right side
   103,624x = 23,114,641,225
5. Step 5: Solve for x
   x = 23,114,641,225/103,624
6. Step 6: Final answer
   x = 223,062.62