Finding the Third Proportional to 148,762 and 208,071

Step by Step Solution

1. Step 1: Write the proportion equation
   148,762 : 208,071 = 208,071 : x
2. Step 2: Convert to fraction form
   148,762/208,071 = 208,071/x
3. Step 3: Cross multiply
   148,762x = 208,071 × 208,071
4. Step 4: Simplify right side
   148,762x = 43,293,541,041
5. Step 5: Solve for x
   x = 43,293,541,041/148,762
6. Step 6: Final answer
   x = 291,025.54