Finding the Third Proportional to 83,106 and 158,557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,106 : 158,557.50 = 158,557.50 : x
2. Step 2: Convert to fraction form
   83,106/158,557.50 = 158,557.50/x
3. Step 3: Cross multiply
   83,106x = 158,557.50 × 158,557.50
4. Step 4: Simplify right side
   83,106x = 25,140,480,806.25
5. Step 5: Solve for x
   x = 25,140,480,806.25/83,106
6. Step 6: Final answer
   x = 302,511.02