Finding the Third Proportional to 106,566.38 and 230,869.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,566.38 : 230,869.50 = 230,869.50 : x
2. Step 2: Convert to fraction form
   106,566.38/230,869.50 = 230,869.50/x
3. Step 3: Cross multiply
   106,566.38x = 230,869.50 × 230,869.50
4. Step 4: Simplify right side
   106,566.38x = 53,300,726,030.25
5. Step 5: Solve for x
   x = 53,300,726,030.25/106,566.38
6. Step 6: Final answer
   x = 500,164.58