Finding the Third Proportional to 42,942 and 87,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,942 : 87,097.50 = 87,097.50 : x
2. Step 2: Convert to fraction form
   42,942/87,097.50 = 87,097.50/x
3. Step 3: Cross multiply
   42,942x = 87,097.50 × 87,097.50
4. Step 4: Simplify right side
   42,942x = 7,585,974,506.25
5. Step 5: Solve for x
   x = 7,585,974,506.25/42,942
6. Step 6: Final answer
   x = 176,656.29