Finding the Third Proportional to 77,830 and 151,772

Step by Step Solution

1. Step 1: Write the proportion equation
   77,830 : 151,772 = 151,772 : x
2. Step 2: Convert to fraction form
   77,830/151,772 = 151,772/x
3. Step 3: Cross multiply
   77,830x = 151,772 × 151,772
4. Step 4: Simplify right side
   77,830x = 23,034,739,984
5. Step 5: Solve for x
   x = 23,034,739,984/77,830
6. Step 6: Final answer
   x = 295,962.23