Finding the Third Proportional to 148,772 and 208,086

Step by Step Solution

1. Step 1: Write the proportion equation
   148,772 : 208,086 = 208,086 : x
2. Step 2: Convert to fraction form
   148,772/208,086 = 208,086/x
3. Step 3: Cross multiply
   148,772x = 208,086 × 208,086
4. Step 4: Simplify right side
   148,772x = 43,299,783,396
5. Step 5: Solve for x
   x = 43,299,783,396/148,772
6. Step 6: Final answer
   x = 291,047.94