Finding the Third Proportional to 89,434.13 and 189,526.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,434.13 : 189,526.50 = 189,526.50 : x
2. Step 2: Convert to fraction form
   89,434.13/189,526.50 = 189,526.50/x
3. Step 3: Cross multiply
   89,434.13x = 189,526.50 × 189,526.50
4. Step 4: Simplify right side
   89,434.13x = 35,920,294,202.25
5. Step 5: Solve for x
   x = 35,920,294,202.25/89,434.13
6. Step 6: Final answer
   x = 401,639.69