Finding the Third Proportional to 101,026.50 and 147,097

Step by Step Solution

1. Step 1: Write the proportion equation
   101,026.50 : 147,097 = 147,097 : x
2. Step 2: Convert to fraction form
   101,026.50/147,097 = 147,097/x
3. Step 3: Cross multiply
   101,026.50x = 147,097 × 147,097
4. Step 4: Simplify right side
   101,026.50x = 21,637,527,409
5. Step 5: Solve for x
   x = 21,637,527,409/101,026.50
6. Step 6: Final answer
   x = 214,176.75