Finding the Third Proportional to 84,891 and 114,880.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,891 : 114,880.50 = 114,880.50 : x
2. Step 2: Convert to fraction form
   84,891/114,880.50 = 114,880.50/x
3. Step 3: Cross multiply
   84,891x = 114,880.50 × 114,880.50
4. Step 4: Simplify right side
   84,891x = 13,197,529,280.25
5. Step 5: Solve for x
   x = 13,197,529,280.25/84,891
6. Step 6: Final answer
   x = 155,464.41