Finding the Third Proportional to 103,416 and 152,082

Step by Step Solution

1. Step 1: Write the proportion equation
   103,416 : 152,082 = 152,082 : x
2. Step 2: Convert to fraction form
   103,416/152,082 = 152,082/x
3. Step 3: Cross multiply
   103,416x = 152,082 × 152,082
4. Step 4: Simplify right side
   103,416x = 23,128,934,724
5. Step 5: Solve for x
   x = 23,128,934,724/103,416
6. Step 6: Final answer
   x = 223,649.48