Finding the Third Proportional to 509,655 and 612,070.50

Step by Step Solution

1. Step 1: Write the proportion equation
   509,655 : 612,070.50 = 612,070.50 : x
2. Step 2: Convert to fraction form
   509,655/612,070.50 = 612,070.50/x
3. Step 3: Cross multiply
   509,655x = 612,070.50 × 612,070.50
4. Step 4: Simplify right side
   509,655x = 374,630,296,970.25
5. Step 5: Solve for x
   x = 374,630,296,970.25/509,655
6. Step 6: Final answer
   x = 735,066.46