Finding the Third Proportional to 90,315 and 194,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,315 : 194,602.50 = 194,602.50 : x
2. Step 2: Convert to fraction form
   90,315/194,602.50 = 194,602.50/x
3. Step 3: Cross multiply
   90,315x = 194,602.50 × 194,602.50
4. Step 4: Simplify right side
   90,315x = 37,870,133,006.25
5. Step 5: Solve for x
   x = 37,870,133,006.25/90,315
6. Step 6: Final answer
   x = 419,311.66