Finding the Third Proportional to 101,210 and 151,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,210 : 151,257.50 = 151,257.50 : x
2. Step 2: Convert to fraction form
   101,210/151,257.50 = 151,257.50/x
3. Step 3: Cross multiply
   101,210x = 151,257.50 × 151,257.50
4. Step 4: Simplify right side
   101,210x = 22,878,831,306.25
5. Step 5: Solve for x
   x = 22,878,831,306.25/101,210
6. Step 6: Final answer
   x = 226,053.07