Finding the Third Proportional to 49,258 and 78,010.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,258 : 78,010.50 = 78,010.50 : x
2. Step 2: Convert to fraction form
   49,258/78,010.50 = 78,010.50/x
3. Step 3: Cross multiply
   49,258x = 78,010.50 × 78,010.50
4. Step 4: Simplify right side
   49,258x = 6,085,638,110.25
5. Step 5: Solve for x
   x = 6,085,638,110.25/49,258
6. Step 6: Final answer
   x = 123,546.19