Finding the Third Proportional to 103,677 and 152,114

Step by Step Solution

1. Step 1: Write the proportion equation
   103,677 : 152,114 = 152,114 : x
2. Step 2: Convert to fraction form
   103,677/152,114 = 152,114/x
3. Step 3: Cross multiply
   103,677x = 152,114 × 152,114
4. Step 4: Simplify right side
   103,677x = 23,138,668,996
5. Step 5: Solve for x
   x = 23,138,668,996/103,677
6. Step 6: Final answer
   x = 223,180.35