Finding the Third Proportional to 85,775.25 and 189,001.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,775.25 : 189,001.50 = 189,001.50 : x
2. Step 2: Convert to fraction form
   85,775.25/189,001.50 = 189,001.50/x
3. Step 3: Cross multiply
   85,775.25x = 189,001.50 × 189,001.50
4. Step 4: Simplify right side
   85,775.25x = 35,721,567,002.25
5. Step 5: Solve for x
   x = 35,721,567,002.25/85,775.25
6. Step 6: Final answer
   x = 416,455.41