Finding the Third Proportional to 103,418 and 152,085

Step by Step Solution

1. Step 1: Write the proportion equation
   103,418 : 152,085 = 152,085 : x
2. Step 2: Convert to fraction form
   103,418/152,085 = 152,085/x
3. Step 3: Cross multiply
   103,418x = 152,085 × 152,085
4. Step 4: Simplify right side
   103,418x = 23,129,847,225
5. Step 5: Solve for x
   x = 23,129,847,225/103,418
6. Step 6: Final answer
   x = 223,653.98