Finding the Third Proportional to 64,516 and 89,148

Step by Step Solution

1. Step 1: Write the proportion equation
   64,516 : 89,148 = 89,148 : x
2. Step 2: Convert to fraction form
   64,516/89,148 = 89,148/x
3. Step 3: Cross multiply
   64,516x = 89,148 × 89,148
4. Step 4: Simplify right side
   64,516x = 7,947,365,904
5. Step 5: Solve for x
   x = 7,947,365,904/64,516
6. Step 6: Final answer
   x = 123,184.42