Finding the Third Proportional to 77,807 and 113,308

Step by Step Solution

1. Step 1: Write the proportion equation
   77,807 : 113,308 = 113,308 : x
2. Step 2: Convert to fraction form
   77,807/113,308 = 113,308/x
3. Step 3: Cross multiply
   77,807x = 113,308 × 113,308
4. Step 4: Simplify right side
   77,807x = 12,838,702,864
5. Step 5: Solve for x
   x = 12,838,702,864/77,807
6. Step 6: Final answer
   x = 165,007.04