Finding the Third Proportional to 314,820 and 499,307.63

Step by Step Solution

1. Step 1: Write the proportion equation
   314,820 : 499,307.63 = 499,307.63 : x
2. Step 2: Convert to fraction form
   314,820/499,307.63 = 499,307.63/x
3. Step 3: Cross multiply
   314,820x = 499,307.63 × 499,307.63
4. Step 4: Simplify right side
   314,820x = 249,308,104,383.14
5. Step 5: Solve for x
   x = 249,308,104,383.14/314,820
6. Step 6: Final answer
   x = 791,906.82