Finding the Third Proportional to 148,764 and 208,074

Step by Step Solution

1. Step 1: Write the proportion equation
   148,764 : 208,074 = 208,074 : x
2. Step 2: Convert to fraction form
   148,764/208,074 = 208,074/x
3. Step 3: Cross multiply
   148,764x = 208,074 × 208,074
4. Step 4: Simplify right side
   148,764x = 43,294,789,476
5. Step 5: Solve for x
   x = 43,294,789,476/148,764
6. Step 6: Final answer
   x = 291,030.02