Finding the Third Proportional to 72,830.25 and 109,914.75

Step by Step Solution

1. Step 1: Write the proportion equation
   72,830.25 : 109,914.75 = 109,914.75 : x
2. Step 2: Convert to fraction form
   72,830.25/109,914.75 = 109,914.75/x
3. Step 3: Cross multiply
   72,830.25x = 109,914.75 × 109,914.75
4. Step 4: Simplify right side
   72,830.25x = 12,081,252,267.56
5. Step 5: Solve for x
   x = 12,081,252,267.56/72,830.25
6. Step 6: Final answer
   x = 165,882.34