Finding the Third Proportional to 456,169 and 657,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   456,169 : 657,094.50 = 657,094.50 : x
2. Step 2: Convert to fraction form
   456,169/657,094.50 = 657,094.50/x
3. Step 3: Cross multiply
   456,169x = 657,094.50 × 657,094.50
4. Step 4: Simplify right side
   456,169x = 431,773,181,930.25
5. Step 5: Solve for x
   x = 431,773,181,930.25/456,169
6. Step 6: Final answer
   x = 946,520.22