Finding the Third Proportional to 317,046 and 747,663.75

Step by Step Solution

1. Step 1: Write the proportion equation
   317,046 : 747,663.75 = 747,663.75 : x
2. Step 2: Convert to fraction form
   317,046/747,663.75 = 747,663.75/x
3. Step 3: Cross multiply
   317,046x = 747,663.75 × 747,663.75
4. Step 4: Simplify right side
   317,046x = 559,001,083,064.06
5. Step 5: Solve for x
   x = 559,001,083,064.06/317,046
6. Step 6: Final answer
   x = 1,763,154.50