Finding the Third Proportional to 194,713 and 420,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,713 : 420,565.50 = 420,565.50 : x
2. Step 2: Convert to fraction form
   194,713/420,565.50 = 420,565.50/x
3. Step 3: Cross multiply
   194,713x = 420,565.50 × 420,565.50
4. Step 4: Simplify right side
   194,713x = 176,875,339,790.25
5. Step 5: Solve for x
   x = 176,875,339,790.25/194,713
6. Step 6: Final answer
   x = 908,389.99