Finding the Third Proportional to 56,829 and 89,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,829 : 89,147.50 = 89,147.50 : x
2. Step 2: Convert to fraction form
   56,829/89,147.50 = 89,147.50/x
3. Step 3: Cross multiply
   56,829x = 89,147.50 × 89,147.50
4. Step 4: Simplify right side
   56,829x = 7,947,276,756.25
5. Step 5: Solve for x
   x = 7,947,276,756.25/56,829
6. Step 6: Final answer
   x = 139,845.44