Finding the Third Proportional to 77.63 and 151.88

Step by Step Solution

1. Step 1: Write the proportion equation
   77.63 : 151.88 = 151.88 : x
2. Step 2: Convert to fraction form
   77.63/151.88 = 151.88/x
3. Step 3: Cross multiply
   77.63x = 151.88 × 151.88
4. Step 4: Simplify right side
   77.63x = 23,066.02
5. Step 5: Solve for x
   x = 23,066.02/77.63
6. Step 6: Final answer
   x = 297.15