Finding the Third Proportional to 103,912 and 152,406

Step by Step Solution

1. Step 1: Write the proportion equation
   103,912 : 152,406 = 152,406 : x
2. Step 2: Convert to fraction form
   103,912/152,406 = 152,406/x
3. Step 3: Cross multiply
   103,912x = 152,406 × 152,406
4. Step 4: Simplify right side
   103,912x = 23,227,588,836
5. Step 5: Solve for x
   x = 23,227,588,836/103,912
6. Step 6: Final answer
   x = 223,531.34