Finding the Third Proportional to 61,523 and 87,978

Step by Step Solution

1. Step 1: Write the proportion equation
   61,523 : 87,978 = 87,978 : x
2. Step 2: Convert to fraction form
   61,523/87,978 = 87,978/x
3. Step 3: Cross multiply
   61,523x = 87,978 × 87,978
4. Step 4: Simplify right side
   61,523x = 7,740,128,484
5. Step 5: Solve for x
   x = 7,740,128,484/61,523
6. Step 6: Final answer
   x = 125,808.70