Finding the Third Proportional to 308,586 and 462,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   308,586 : 462,877.50 = 462,877.50 : x
2. Step 2: Convert to fraction form
   308,586/462,877.50 = 462,877.50/x
3. Step 3: Cross multiply
   308,586x = 462,877.50 × 462,877.50
4. Step 4: Simplify right side
   308,586x = 214,255,580,006.25
5. Step 5: Solve for x
   x = 214,255,580,006.25/308,586
6. Step 6: Final answer
   x = 694,314.00