Finding the Third Proportional to 185,732 and 278,602

Step by Step Solution

1. Step 1: Write the proportion equation
   185,732 : 278,602 = 278,602 : x
2. Step 2: Convert to fraction form
   185,732/278,602 = 278,602/x
3. Step 3: Cross multiply
   185,732x = 278,602 × 278,602
4. Step 4: Simplify right side
   185,732x = 77,619,074,404
5. Step 5: Solve for x
   x = 77,619,074,404/185,732
6. Step 6: Final answer
   x = 417,909.00