Finding the Third Proportional to 77,491.69 and 158,258.81

Step by Step Solution

1. Step 1: Write the proportion equation
   77,491.69 : 158,258.81 = 158,258.81 : x
2. Step 2: Convert to fraction form
   77,491.69/158,258.81 = 158,258.81/x
3. Step 3: Cross multiply
   77,491.69x = 158,258.81 × 158,258.81
4. Step 4: Simplify right side
   77,491.69x = 25,045,851,733.91
5. Step 5: Solve for x
   x = 25,045,851,733.91/77,491.69
6. Step 6: Final answer
   x = 323,206.95