Finding the Third Proportional to 100,833 and 141,316.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,833 : 141,316.50 = 141,316.50 : x
2. Step 2: Convert to fraction form
   100,833/141,316.50 = 141,316.50/x
3. Step 3: Cross multiply
   100,833x = 141,316.50 × 141,316.50
4. Step 4: Simplify right side
   100,833x = 19,970,353,172.25
5. Step 5: Solve for x
   x = 19,970,353,172.25/100,833
6. Step 6: Final answer
   x = 198,053.74