Finding the Third Proportional to 189,371.50 and 407,354

Step by Step Solution

1. Step 1: Write the proportion equation
   189,371.50 : 407,354 = 407,354 : x
2. Step 2: Convert to fraction form
   189,371.50/407,354 = 407,354/x
3. Step 3: Cross multiply
   189,371.50x = 407,354 × 407,354
4. Step 4: Simplify right side
   189,371.50x = 165,937,281,316
5. Step 5: Solve for x
   x = 165,937,281,316/189,371.50
6. Step 6: Final answer
   x = 876,252.66