Finding the Third Proportional to 78,225.75 and 189,084.38

Step by Step Solution

1. Step 1: Write the proportion equation
   78,225.75 : 189,084.38 = 189,084.38 : x
2. Step 2: Convert to fraction form
   78,225.75/189,084.38 = 189,084.38/x
3. Step 3: Cross multiply
   78,225.75x = 189,084.38 × 189,084.38
4. Step 4: Simplify right side
   78,225.75x = 35,752,900,869.14
5. Step 5: Solve for x
   x = 35,752,900,869.14/78,225.75
6. Step 6: Final answer
   x = 457,047.72