Finding the Third Proportional to 82,312.50 and 194,110.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,312.50 : 194,110.50 = 194,110.50 : x
2. Step 2: Convert to fraction form
   82,312.50/194,110.50 = 194,110.50/x
3. Step 3: Cross multiply
   82,312.50x = 194,110.50 × 194,110.50
4. Step 4: Simplify right side
   82,312.50x = 37,678,886,210.25
5. Step 5: Solve for x
   x = 37,678,886,210.25/82,312.50
6. Step 6: Final answer
   x = 457,754.12