Finding the Third Proportional to 64,458 and 97,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,458 : 97,156.50 = 97,156.50 : x
2. Step 2: Convert to fraction form
   64,458/97,156.50 = 97,156.50/x
3. Step 3: Cross multiply
   64,458x = 97,156.50 × 97,156.50
4. Step 4: Simplify right side
   64,458x = 9,439,385,492.25
5. Step 5: Solve for x
   x = 9,439,385,492.25/64,458
6. Step 6: Final answer
   x = 146,442.42