Finding the Third Proportional to 509,662.50 and 612,076.50

Step by Step Solution

1. Step 1: Write the proportion equation
   509,662.50 : 612,076.50 = 612,076.50 : x
2. Step 2: Convert to fraction form
   509,662.50/612,076.50 = 612,076.50/x
3. Step 3: Cross multiply
   509,662.50x = 612,076.50 × 612,076.50
4. Step 4: Simplify right side
   509,662.50x = 374,637,641,852.25
5. Step 5: Solve for x
   x = 374,637,641,852.25/509,662.50
6. Step 6: Final answer
   x = 735,070.05