Finding the Third Proportional to 76,314 and 112,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,314 : 112,189.50 = 112,189.50 : x
2. Step 2: Convert to fraction form
   76,314/112,189.50 = 112,189.50/x
3. Step 3: Cross multiply
   76,314x = 112,189.50 × 112,189.50
4. Step 4: Simplify right side
   76,314x = 12,586,483,910.25
5. Step 5: Solve for x
   x = 12,586,483,910.25/76,314
6. Step 6: Final answer
   x = 164,930.21