Finding the Third Proportional to 78,254 and 111,501

Step by Step Solution

1. Step 1: Write the proportion equation
   78,254 : 111,501 = 111,501 : x
2. Step 2: Convert to fraction form
   78,254/111,501 = 111,501/x
3. Step 3: Cross multiply
   78,254x = 111,501 × 111,501
4. Step 4: Simplify right side
   78,254x = 12,432,473,001
5. Step 5: Solve for x
   x = 12,432,473,001/78,254
6. Step 6: Final answer
   x = 158,873.32