Finding the Third Proportional to 266,052 and 413,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   266,052 : 413,071.50 = 413,071.50 : x
2. Step 2: Convert to fraction form
   266,052/413,071.50 = 413,071.50/x
3. Step 3: Cross multiply
   266,052x = 413,071.50 × 413,071.50
4. Step 4: Simplify right side
   266,052x = 170,628,064,112.25
5. Step 5: Solve for x
   x = 170,628,064,112.25/266,052
6. Step 6: Final answer
   x = 641,333.51