Finding the Third Proportional to 42,232.50 and 89,841

Step by Step Solution

1. Step 1: Write the proportion equation
   42,232.50 : 89,841 = 89,841 : x
2. Step 2: Convert to fraction form
   42,232.50/89,841 = 89,841/x
3. Step 3: Cross multiply
   42,232.50x = 89,841 × 89,841
4. Step 4: Simplify right side
   42,232.50x = 8,071,405,281
5. Step 5: Solve for x
   x = 8,071,405,281/42,232.50
6. Step 6: Final answer
   x = 191,118.34