Finding the Third Proportional to 186,426 and 291,634.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,426 : 291,634.50 = 291,634.50 : x
2. Step 2: Convert to fraction form
   186,426/291,634.50 = 291,634.50/x
3. Step 3: Cross multiply
   186,426x = 291,634.50 × 291,634.50
4. Step 4: Simplify right side
   186,426x = 85,050,681,590.25
5. Step 5: Solve for x
   x = 85,050,681,590.25/186,426
6. Step 6: Final answer
   x = 456,216.85