Finding the Third Proportional to 77,421 and 113,145

Step by Step Solution

1. Step 1: Write the proportion equation
   77,421 : 113,145 = 113,145 : x
2. Step 2: Convert to fraction form
   77,421/113,145 = 113,145/x
3. Step 3: Cross multiply
   77,421x = 113,145 × 113,145
4. Step 4: Simplify right side
   77,421x = 12,801,791,025
5. Step 5: Solve for x
   x = 12,801,791,025/77,421
6. Step 6: Final answer
   x = 165,352.95