Finding the Third Proportional to 90,126 and 194,500.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,126 : 194,500.50 = 194,500.50 : x
2. Step 2: Convert to fraction form
   90,126/194,500.50 = 194,500.50/x
3. Step 3: Cross multiply
   90,126x = 194,500.50 × 194,500.50
4. Step 4: Simplify right side
   90,126x = 37,830,444,500.25
5. Step 5: Solve for x
   x = 37,830,444,500.25/90,126
6. Step 6: Final answer
   x = 419,750.62