Finding the Third Proportional to 78,012 and 183,973.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,012 : 183,973.50 = 183,973.50 : x
2. Step 2: Convert to fraction form
   78,012/183,973.50 = 183,973.50/x
3. Step 3: Cross multiply
   78,012x = 183,973.50 × 183,973.50
4. Step 4: Simplify right side
   78,012x = 33,846,248,702.25
5. Step 5: Solve for x
   x = 33,846,248,702.25/78,012
6. Step 6: Final answer
   x = 433,859.52