Finding the Third Proportional to 42,579 and 93,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,579 : 93,541.50 = 93,541.50 : x
2. Step 2: Convert to fraction form
   42,579/93,541.50 = 93,541.50/x
3. Step 3: Cross multiply
   42,579x = 93,541.50 × 93,541.50
4. Step 4: Simplify right side
   42,579x = 8,750,012,222.25
5. Step 5: Solve for x
   x = 8,750,012,222.25/42,579
6. Step 6: Final answer
   x = 205,500.65