Finding the Third Proportional to 103,624 and 155,820

Step by Step Solution

1. Step 1: Write the proportion equation
   103,624 : 155,820 = 155,820 : x
2. Step 2: Convert to fraction form
   103,624/155,820 = 155,820/x
3. Step 3: Cross multiply
   103,624x = 155,820 × 155,820
4. Step 4: Simplify right side
   103,624x = 24,279,872,400
5. Step 5: Solve for x
   x = 24,279,872,400/103,624
6. Step 6: Final answer
   x = 234,307.42