Finding the Third Proportional to 76,929 and 116,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,929 : 116,419.50 = 116,419.50 : x
2. Step 2: Convert to fraction form
   76,929/116,419.50 = 116,419.50/x
3. Step 3: Cross multiply
   76,929x = 116,419.50 × 116,419.50
4. Step 4: Simplify right side
   76,929x = 13,553,499,980.25
5. Step 5: Solve for x
   x = 13,553,499,980.25/76,929
6. Step 6: Final answer
   x = 176,181.93