Finding the Third Proportional to 456,166 and 657,090.50

Step by Step Solution

1. Step 1: Write the proportion equation
   456,166 : 657,090.50 = 657,090.50 : x
2. Step 2: Convert to fraction form
   456,166/657,090.50 = 657,090.50/x
3. Step 3: Cross multiply
   456,166x = 657,090.50 × 657,090.50
4. Step 4: Simplify right side
   456,166x = 431,767,925,190.25
5. Step 5: Solve for x
   x = 431,767,925,190.25/456,166
6. Step 6: Final answer
   x = 946,514.92