Finding the Third Proportional to 89,437.50 and 189,534

Step by Step Solution

1. Step 1: Write the proportion equation
   89,437.50 : 189,534 = 189,534 : x
2. Step 2: Convert to fraction form
   89,437.50/189,534 = 189,534/x
3. Step 3: Cross multiply
   89,437.50x = 189,534 × 189,534
4. Step 4: Simplify right side
   89,437.50x = 35,923,137,156
5. Step 5: Solve for x
   x = 35,923,137,156/89,437.50
6. Step 6: Final answer
   x = 401,656.32