Finding the Third Proportional to 78,153 and 121,090.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,153 : 121,090.50 = 121,090.50 : x
2. Step 2: Convert to fraction form
   78,153/121,090.50 = 121,090.50/x
3. Step 3: Cross multiply
   78,153x = 121,090.50 × 121,090.50
4. Step 4: Simplify right side
   78,153x = 14,662,909,190.25
5. Step 5: Solve for x
   x = 14,662,909,190.25/78,153
6. Step 6: Final answer
   x = 187,618.00