Finding the Third Proportional to 70,077 and 157,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   70,077 : 157,696.50 = 157,696.50 : x
2. Step 2: Convert to fraction form
   70,077/157,696.50 = 157,696.50/x
3. Step 3: Cross multiply
   70,077x = 157,696.50 × 157,696.50
4. Step 4: Simplify right side
   70,077x = 24,868,186,112.25
5. Step 5: Solve for x
   x = 24,868,186,112.25/70,077
6. Step 6: Final answer
   x = 354,869.45