Finding the Third Proportional to 148,766 and 208,077

Step by Step Solution

1. Step 1: Write the proportion equation
   148,766 : 208,077 = 208,077 : x
2. Step 2: Convert to fraction form
   148,766/208,077 = 208,077/x
3. Step 3: Cross multiply
   148,766x = 208,077 × 208,077
4. Step 4: Simplify right side
   148,766x = 43,296,037,929
5. Step 5: Solve for x
   x = 43,296,037,929/148,766
6. Step 6: Final answer
   x = 291,034.50