Finding the Third Proportional to 266,196 and 402,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   266,196 : 402,066.50 = 402,066.50 : x
2. Step 2: Convert to fraction form
   266,196/402,066.50 = 402,066.50/x
3. Step 3: Cross multiply
   266,196x = 402,066.50 × 402,066.50
4. Step 4: Simplify right side
   266,196x = 161,657,470,422.25
5. Step 5: Solve for x
   x = 161,657,470,422.25/266,196
6. Step 6: Final answer
   x = 607,287.38