Finding the Third Proportional to 64,844 and 97,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,844 : 97,266.50 = 97,266.50 : x
2. Step 2: Convert to fraction form
   64,844/97,266.50 = 97,266.50/x
3. Step 3: Cross multiply
   64,844x = 97,266.50 × 97,266.50
4. Step 4: Simplify right side
   64,844x = 9,460,772,022.25
5. Step 5: Solve for x
   x = 9,460,772,022.25/64,844
6. Step 6: Final answer
   x = 145,900.50