Finding the Third Proportional to 52,526 and 78,826

Step by Step Solution

1. Step 1: Write the proportion equation
   52,526 : 78,826 = 78,826 : x
2. Step 2: Convert to fraction form
   52,526/78,826 = 78,826/x
3. Step 3: Cross multiply
   52,526x = 78,826 × 78,826
4. Step 4: Simplify right side
   52,526x = 6,213,538,276
5. Step 5: Solve for x
   x = 6,213,538,276/52,526
6. Step 6: Final answer
   x = 118,294.53