Finding the Third Proportional to 86,211 and 123,421.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,211 : 123,421.50 = 123,421.50 : x
2. Step 2: Convert to fraction form
   86,211/123,421.50 = 123,421.50/x
3. Step 3: Cross multiply
   86,211x = 123,421.50 × 123,421.50
4. Step 4: Simplify right side
   86,211x = 15,232,866,662.25
5. Step 5: Solve for x
   x = 15,232,866,662.25/86,211
6. Step 6: Final answer
   x = 176,692.84