Finding the Third Proportional to 296,946 and 478,102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   296,946 : 478,102.50 = 478,102.50 : x
2. Step 2: Convert to fraction form
   296,946/478,102.50 = 478,102.50/x
3. Step 3: Cross multiply
   296,946x = 478,102.50 × 478,102.50
4. Step 4: Simplify right side
   296,946x = 228,582,000,506.25
5. Step 5: Solve for x
   x = 228,582,000,506.25/296,946
6. Step 6: Final answer
   x = 769,776.32