Finding the Third Proportional to 76,680 and 112,441.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,680 : 112,441.50 = 112,441.50 : x
2. Step 2: Convert to fraction form
   76,680/112,441.50 = 112,441.50/x
3. Step 3: Cross multiply
   76,680x = 112,441.50 × 112,441.50
4. Step 4: Simplify right side
   76,680x = 12,643,090,922.25
5. Step 5: Solve for x
   x = 12,643,090,922.25/76,680
6. Step 6: Final answer
   x = 164,881.21