Finding the Third Proportional to 186,435 and 291,643.88

Step by Step Solution

1. Step 1: Write the proportion equation
   186,435 : 291,643.88 = 291,643.88 : x
2. Step 2: Convert to fraction form
   186,435/291,643.88 = 291,643.88/x
3. Step 3: Cross multiply
   186,435x = 291,643.88 × 291,643.88
4. Step 4: Simplify right side
   186,435x = 85,056,149,825.02
5. Step 5: Solve for x
   x = 85,056,149,825.02/186,435
6. Step 6: Final answer
   x = 456,224.15