Finding the Third Proportional to 194,557.50 and 426,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,557.50 : 426,022.50 = 426,022.50 : x
2. Step 2: Convert to fraction form
   194,557.50/426,022.50 = 426,022.50/x
3. Step 3: Cross multiply
   194,557.50x = 426,022.50 × 426,022.50
4. Step 4: Simplify right side
   194,557.50x = 181,495,170,506.25
5. Step 5: Solve for x
   x = 181,495,170,506.25/194,557.50
6. Step 6: Final answer
   x = 932,861.34