Finding the Third Proportional to 78,051 and 184,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,051 : 184,039.50 = 184,039.50 : x
2. Step 2: Convert to fraction form
   78,051/184,039.50 = 184,039.50/x
3. Step 3: Cross multiply
   78,051x = 184,039.50 × 184,039.50
4. Step 4: Simplify right side
   78,051x = 33,870,537,560.25
5. Step 5: Solve for x
   x = 33,870,537,560.25/78,051
6. Step 6: Final answer
   x = 433,953.92