Finding the Third Proportional to 106,117 and 159,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,117 : 159,166.50 = 159,166.50 : x
2. Step 2: Convert to fraction form
   106,117/159,166.50 = 159,166.50/x
3. Step 3: Cross multiply
   106,117x = 159,166.50 × 159,166.50
4. Step 4: Simplify right side
   106,117x = 25,333,974,722.25
5. Step 5: Solve for x
   x = 25,333,974,722.25/106,117
6. Step 6: Final answer
   x = 238,736.25