Finding the Third Proportional to 182,418 and 291,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,418 : 291,409.50 = 291,409.50 : x
2. Step 2: Convert to fraction form
   182,418/291,409.50 = 291,409.50/x
3. Step 3: Cross multiply
   182,418x = 291,409.50 × 291,409.50
4. Step 4: Simplify right side
   182,418x = 84,919,496,690.25
5. Step 5: Solve for x
   x = 84,919,496,690.25/182,418
6. Step 6: Final answer
   x = 465,521.48