Finding the Third Proportional to 106,857 and 151,885.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,857 : 151,885.50 = 151,885.50 : x
2. Step 2: Convert to fraction form
   106,857/151,885.50 = 151,885.50/x
3. Step 3: Cross multiply
   106,857x = 151,885.50 × 151,885.50
4. Step 4: Simplify right side
   106,857x = 23,069,205,110.25
5. Step 5: Solve for x
   x = 23,069,205,110.25/106,857
6. Step 6: Final answer
   x = 215,888.57