Finding the Third Proportional to 185,657 and 406,090

Step by Step Solution

1. Step 1: Write the proportion equation
   185,657 : 406,090 = 406,090 : x
2. Step 2: Convert to fraction form
   185,657/406,090 = 406,090/x
3. Step 3: Cross multiply
   185,657x = 406,090 × 406,090
4. Step 4: Simplify right side
   185,657x = 164,909,088,100
5. Step 5: Solve for x
   x = 164,909,088,100/185,657
6. Step 6: Final answer
   x = 888,246.00