Finding the Third Proportional to 93,696 and 146,821.50

Step by Step Solution

1. Step 1: Write the proportion equation
   93,696 : 146,821.50 = 146,821.50 : x
2. Step 2: Convert to fraction form
   93,696/146,821.50 = 146,821.50/x
3. Step 3: Cross multiply
   93,696x = 146,821.50 × 146,821.50
4. Step 4: Simplify right side
   93,696x = 21,556,552,862.25
5. Step 5: Solve for x
   x = 21,556,552,862.25/93,696
6. Step 6: Final answer
   x = 230,069.08