Finding the Third Proportional to 61,223 and 92,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,223 : 92,758.50 = 92,758.50 : x
2. Step 2: Convert to fraction form
   61,223/92,758.50 = 92,758.50/x
3. Step 3: Cross multiply
   61,223x = 92,758.50 × 92,758.50
4. Step 4: Simplify right side
   61,223x = 8,604,139,322.25
5. Step 5: Solve for x
   x = 8,604,139,322.25/61,223
6. Step 6: Final answer
   x = 140,537.70