Finding the Third Proportional to 103,730 and 152,295

Step by Step Solution

1. Step 1: Write the proportion equation
   103,730 : 152,295 = 152,295 : x
2. Step 2: Convert to fraction form
   103,730/152,295 = 152,295/x
3. Step 3: Cross multiply
   103,730x = 152,295 × 152,295
4. Step 4: Simplify right side
   103,730x = 23,193,767,025
5. Step 5: Solve for x
   x = 23,193,767,025/103,730
6. Step 6: Final answer
   x = 223,597.48